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Finding the Fourth Proportional to 313,844, 433,106.24 and 170,604

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Solution

The fourth proportional to 313,844, 433,106.24 and 170,604 is: 235,434.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,844 : 433,106.24 = 170,604 : x
  2. Step 2: Convert to fraction form
    313,844/433,106.24 = 170,604/x
  3. Step 3: Cross multiply
    313,844x = 433,106.24 × 170,604
  4. Step 4: Simplify right side
    313,844x = 73,889,656,968.96
  5. Step 5: Solve for x
    x = 73,889,656,968.96/313,844
  6. Step 6: Final answer
    x = 235,434.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.